Global existence of strong solution to non-isothermal ideal gas system (2203.08365v1)

Published 16 Mar 2022 in math.AP

Abstract: This paper aims to establish the global existence of strong solutions to a non-isothermal ideal gas model. We first show global well-posedness in the Sobolev space $H^{2(\mathbb{R}^3)$} by using energy estimates. We then prove the global well-posedness for small-data solutions in the critical Besov space by using Banach's fixed point theorem.

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